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SUMMARY:Macroscopic Thermalization for Highly Degenerate Hamiltonians - Ba
 rbara Roos\, University of Tuebingen
DTSTART:20241017T131500Z
DTEND:20241017T141500Z
UID:TALK223321@talks.cam.ac.uk
CONTACT:Subhayan Roy Moulik
DESCRIPTION:A closed quantum system thermalizes in the sense of typicality
 \, if any initial state will reach a suitable equilibrium subspace and sta
 y there most of the time. For non-degenerate Hamiltonians\, a sufficient c
 ondition for thermalization is the eigenstate thermalization hypothesis (E
 TH). Shiraishi and Tasaki recently proved the ETH for a perturbation of th
 e Hamiltonian of free fermions on a one-dimensional lattice. The perturbat
 ion is needed to remove the high degeneracies of the Hamiltonian. We point
  out that also for degenerate Hamiltonians ETH implies thermalization. Add
 itionally\, we develop another strategy for proving thermalization by addi
 ng small generic perturbations. This is joint work with Stefan Teufel\, Ro
 derich Tumulka\, and Cornelia Vogel.\n
LOCATION:MR2
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